Draw the unit cell of the fcc lattice

Answer

To draw the unit cell of the face-centered cubic (FCC) lattice, follow these steps:

### Step-by-Step Solution:

1. **Understand the FCC Structure**:
- The FCC lattice has atoms located at each of the eight corners of the cube and at the centers of all six faces.

2. **Draw the Cube**:
- Start by sketching a cube. This will represent the unit cell of the FCC lattice.

3. **Mark the Corner Atoms**:
- Place a dot (representing an atom) at each of the eight corners of the cube. Label these corners as A, B, C, D, E, F, G, and H.

4. **Mark the Face-Centered Atoms**:
- Place a dot at the center of each of the six faces of the cube. Label these face-centered atoms as I, J, K, L, M, and N.

5. **Complete the Drawing**:
- Ensure that the cube is clearly defined, with corner atoms at A, B, C, D, E, F, G, H and face-centered atoms at I, J, K, L, M, N.

6. **Indicate Atom Contributions**:
- Note that each corner atom contributes 1/8 of an atom to the unit cell (8 corners contribute 1 atom), and each face-centered atom contributes 1/2 of an atom (6 faces contribute 3 atoms).

7. **Calculate Total Atoms in the Unit Cell**:
- Total contribution = Contribution from corners + Contribution from face centers = 1 + 3 = 4 atoms per unit cell.

### Final Drawing:
- Your final drawing should show a cube with dots at the corners and face centers, clearly labeled.